[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2019.27.1.9

ON QUASI RICCI SYMMETRIC MANIFOLDS

Kim, Jaeman (Department of Mathematics Education Kangwon National University)

Publication Information

Korean Journal of Mathematics / v.27, no.1, 2019 , pp. 9-15 More about this Journal

Abstract

In this paper, we study a type of Riemannian manifold, namely quasi Ricci symmetric manifold. Among others, we show that the scalar curvature of a quasi Ricci symmetric manifold is constant. In addition if the manifold is Einstein, then its Ricci tensor is zero. Also we prove that if the associated vector field of a quasi Ricci symmetric manifold is either recurrent or concurrent, then its Ricci tensor is zero.

Keywords

quasi Ricci symmetric manifolds; Einstein; conformally flat; scalar curvature; recurrent; concurrent;

Citations & Related Records

Reference

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